Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
tumble-down is an adjective meaning "in deplorable condition". It carries one recorded sense.
in deplorable condition
“a street of bedraggled tenements”
“a broken-down fence”
“a ramshackle old pier”
“a tumble-down shack”
Definitions, synonyms and semantic relations for tumble-down come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.